Mathematical Neuroscience is a book for mathematical biologists seeking to discover the complexities of brain dynamics in an integrative way. It is the first research monograph devoted exclusively to the theory and methods of nonlinear analysis of infinite systems based on funct…
To facilitate a deeper understanding of tensegrity structures, this book focuses on their two key design problems: self-equilibrium analysis and stability investigation. In particular, high symmetry properties of the structures are extensively utilized. Conditions for self-equil…
This book is an interdisciplinary introduction to optical collapse of laser beams, which is modelled by singular (blow-up) solutions of the nonlinear Schrödinger equation. With great care and detail, it develops the subject including the mathematical and physical background and …
Les sciences non linéaires ont pour objet l'ensemble des phénomènes dont l'analyse résiste au principe de superposition. Elles concernent en grande partie les systèmes dits {laquo} complexes {raquo} dont l'interaction et l'interdépendance entre les parties empêchent de prédire p…
"This book explores the mathematical principles by which brains generate spikes, make decisions, store memories, and control actions. It assumes a basic knowledge of calculus and develops the dynamical foundations of neuroscience using problem sets and computer simulations on th…
(Publisher-supplied data) The nervous system of higher animals is both very complex and very nonlinear. Nervous systems are constantly making decisions between alternative actions, and switching gears among dynamical modes. This book is an exploration of the mathematical princip…
(Publisher-supplied data) The nervous system of higher animals is both very complex and very nonlinear. Nervous systems are constantly making decisions between alternative actions, and switching gears among dynamical modes. This book is an exploration of the mathematical princip…
What happens in our brain when we make a decision? What triggers a neuron to send out a signal? What is the neural code? This textbook for advanced undergraduate and beginning graduate students provides a thorough and up-to-date introduction to the fields of computational and th…
This solid introduction uses the principles of physics and the tools of mathematics to approach fundamental questions of neuroscience.
The consideration of time or dynamics is fundamental for all aspects of mental activity--perception, cognition, and emotion--because the main feature of brain activity is the continuous change of the underlying brain states even in a constant environment. The application of nonl…
Experimental and theoretical approaches to global brain dynamics that draw on the latest research in the field. The consideration of time or dynamics is fundamental for all aspects of mental activity--perception, cognition, and emotion--because the main feature of brain activity…
